Question

$x + \frac{30}{x} = 11$
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Answer 1

Explanation:

$\huge\underbrace\mathbf\purple{Answer}$

$\frac{x}{1} + \frac{30}{x} = 11$

$\frac{ {x}^{2} + 30 }{x} = 11$

cross multiplication..

${x}^{2} + 30 = 11x$

$= {x}^{2} - 11x + 30 = 0$

${x}^{2} - 6x + 5x + 30$

$x(x - 6) - 5x(x - 6)$

$(x - 6)(x - 5x)$

$x = 6$